Q2 of 61 Page 204

Prove the following identities

Consider LHS,


LHS =


Multiplying and dividing with (1 – sinθ),


⇒ =


We know that (a + b) (a – b) = a2 – b2


⇒ =


We know that 1 – sin2θ = cos2θ.


⇒ =


=


=


We know that = secθ and = tanθ.


∴ = secθ + tanθ = RHS


Hence proved.


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